# How do you find the indefinite integral of int 12x^2 dx?

$4 {x}^{3} + c$
$\int 12 {x}^{2} \mathrm{dx} = 12 \int {x}^{2} \mathrm{dx}$
$= 12 \cdot {x}^{2 + 1} / \left(2 + 1\right) + c$
$= 12 \cdot {x}^{3} / 3 + c = 4 {x}^{3} + c$